In this study we present first the main theorem of the unfolding method in linearized elasticity. Then we prove that every displacement of a thin structure (curved rod or shell) is the sum of an elementary displacement and a warping. Thanks to the previous theorem we obtain sharp estimates of the displacements of this decomposition. Résumé. Dans cette étude on présente d’abord le théorème fonda...

13 Vertical displacements are among the most important technical parameters to evaluate the health 14 status of a bridge structure and to verify its bearing capacity. Several methods, both conventional 15 and innovative, are used for structural displacement monitoring; no one of these does allow, at the 16 same time, precision, automation, long term and dynamic monitoring without using high cos...

Deformable surface models are often represented as triangular meshes in image segmentation applications. For a fast and easily regularized deformation onto the target object boundary, the vertices of the mesh are commonly moved along line segments (typically surface normals). However, in case of high mesh curvature, these lines may not intersect with the target boundary at all. Consequently, ce...

Having just returned from the Greifswald Frauenklinik, where I had spent seven months as a junior assistant with Prof. Martin, I ventured to point out that in spite of Dr Bantock's condemnation, operation was the rule, and not the exception, in the treatment of these cases in that hospital. Since that time I have had considerable experience in dispensary and private practice in treating cases o...

Metrics, which facilitate the measurement of parameters such as “distance” and “length” are used frequently in rigid body guidance problems. Commonly used metrics have a characteristic of being dependent on the choice of fixed or moving reference frame and the units used. Most motion synthesis algorithms require some notion of the “distance” between two desired locations. The metrics in Euclide...